Finding the Fourth Proportional to 1,005.59, 1,387.71 and 563.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.59 : 1,387.71 = 563.49 : x
2. Step 2: Convert to fraction form
   1,005.59/1,387.71 = 563.49/x
3. Step 3: Cross multiply
   1,005.59x = 1,387.71 × 563.49
4. Step 4: Simplify right side
   1,005.59x = 781,965.59
5. Step 5: Solve for x
   x = 781,965.59/1,005.59
6. Step 6: Final answer
   x = 777.62